The ideas underlying the Skyrme model for baryons are introduced. Applications for the properties of single baryons ( B = 1) in the case of two and three flavours are based on Skyrme's hedgehog ansatz. The interaction between two baryons is discussed within the product ansatz for the B = 2 system. The pion baryon S matrix is derived in the adiabatic approximation. The possibility to include quark degrees of freedom is shown in terms of the hybrid model. Finally the origin and implications of the Wess-Zumino-Witten action are presented.

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